Related Experiment Video
Updated: Jan 26, 2026

Surgical Transplantation of Tumor Cells into the Spinal Cord of Mice
Published on: December 27, 2024
Cell kinetics in a tumour cord
1Istituto di Analisi dei Sistemi ed Informatica del CNR, Viale Manzoni 30, Roma, 00185, Italy. bertuzzi@iasi.rcm.cnr.it
Abstract:
In some tumours, the viable cells grow around blood vessels forming cylindrical structures called tumour cords, which are surrounded by regions of necrosis. In the present paper, we propose a mathematical model for the cell kinetics in a tumour cord at the stationary state. Both proliferating cells and quiescent cells are considered, and the proliferating cell population is structured by age. Cell migration towards cord periphery is accounted for from a continuum viewpoint. The age distribution of proliferating cells, the fraction of cells in S phase, the growth fraction and the velocity along the cord radius are computed. The predictions of the model are compared with literature data obtained from two experimental rat hepatomas. The model was used to compute the profile of the oxygen tension within the cord. Possible modifications and extensions are also presented.
Related Concept Videos
Enzyme Kinetics
Scientists typically study enzyme kinetics with a fixed amount of enzyme in the controlled environment of a test tube. When more reactant, or substrate, is...
Kinetic Energy
Kinetic Molecular Theory: Molecular Velocities, Temperature, and Kinetic Energy
Elimination Kinetics: First-Order and Zero-Order
Drug clearance depends on the rate of drug elimination and its plasma concentration. Another important parameter is a drug's half-life, which is the time required for its concentration to decrease by half. In most cases, drug clearance follows first-order...
Kinetic Friction
Kinetic Energy - I

